He works 40 hrs....at 2.50 per hr...thats (40 * 2.50) = 100 bucks salary
he earned $ 250 in tips..
salary + tips = total income
100 + 250 = t
350 = t...so his total income add up to $ 350 <==
The last one
..................................................................
9x2-1............................................................................
Answer: the correct option is
(D) The imaginary part is zero.
Step-by-step explanation: Given that neither a nor b are equal to zero.
We are to select the correct statement that accurately describes the following product :
We will be using the following formula :
From product (i), we get
![P\\\\=(a+bi)(a-bi)\\\\=a^2-(bi)^2\\\\=a^2-b^2i^2\\\\=a^2-b^2\times (-1)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{since }i^2=-1]\\\\=a^2+b^2.](https://tex.z-dn.net/?f=P%5C%5C%5C%5C%3D%28a%2Bbi%29%28a-bi%29%5C%5C%5C%5C%3Da%5E2-%28bi%29%5E2%5C%5C%5C%5C%3Da%5E2-b%5E2i%5E2%5C%5C%5C%5C%3Da%5E2-b%5E2%5Ctimes%20%28-1%29~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~%5B%5Ctextup%7Bsince%20%7Di%5E2%3D-1%5D%5C%5C%5C%5C%3Da%5E2%2Bb%5E2.)
So, there is no imaginary part in the given product.
Thus, the correct option is
(D) The imaginary part is zero.
No pair of lines can be proven to be parallel considering the information given, therefore, the answer is: D. None of the options are correct.
<h3>When are Two Lines Proven to be Parallel to each other?</h3>
Two lines that are cut across by a transversal can be proven to be parallel to each other if:
- The alternate interior angles along the transversal and on the two lines are congruent [alternate interior angles theorem].
- The alternate exterior angles along the transversal and on the two lines are congruent [alternate exterior angles theorem].
- The same-side interior angles along the transversal and on the two lines are supplementary [same-side interior angles theorem].
- The corresponding angles along the transversal and on the two lines are congruent [corresponding angles theorem].
Thus, given the following information:
m∠2 = 115°
m∠15 = 115°
With only these two angles given, we can't use any of the theorems to prove that any of the two lines are parallel because angle 2 and angle 15 are located entirely on two different transversals that crosses two lines.
In summary, we can conclude that:
D. None of the options are correct.
Learn more about the Parallel lines on:
brainly.com/question/16742265
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